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Finding the Fourth Proportional to 2,611.82, 3,918.95 and 1,638.61

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Solution

The fourth proportional to 2,611.82, 3,918.95 and 1,638.61 is: 2,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.82 : 3,918.95 = 1,638.61 : x
  2. Step 2: Convert to fraction form
    2,611.82/3,918.95 = 1,638.61/x
  3. Step 3: Cross multiply
    2,611.82x = 3,918.95 × 1,638.61
  4. Step 4: Simplify right side
    2,611.82x = 6,421,630.66
  5. Step 5: Solve for x
    x = 6,421,630.66/2,611.82
  6. Step 6: Final answer
    x = 2,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.